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Finding the Fourth Proportional to 53,434.50, 80,152.86 and 16,498.50

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Solution

The fourth proportional to 53,434.50, 80,152.86 and 16,498.50 is: 24,748.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,434.50 : 80,152.86 = 16,498.50 : x
  2. Step 2: Convert to fraction form
    53,434.50/80,152.86 = 16,498.50/x
  3. Step 3: Cross multiply
    53,434.50x = 80,152.86 × 16,498.50
  4. Step 4: Simplify right side
    53,434.50x = 1,322,401,960.71
  5. Step 5: Solve for x
    x = 1,322,401,960.71/53,434.50
  6. Step 6: Final answer
    x = 24,748.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.